GATE CS 2016 Set 1 — Question 55
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Compiler Design → Stacks & Queues → Expression Evaluation
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Question
The attributes of three arithmetic operators in some programming language are given below.
The value of the expression in this language is ________.
| Operator | Precedence | Associativity | Arity |
|---|---|---|---|
| High | Left | Binary | |
| Medium | Right | Binary | |
| Low | Left | Binary |
Correct answer
9 to 9
Solution
The expression is evaluated based on the given precedence and associativity rules.Rules:
The operator binds and .Step 2: Evaluate (Medium Precedence)
The expression contains two operators: . Since is defined as Right Associative, it is grouped as .
Note: The operators are evaluated before because has higher precedence than .Step 3: Evaluate (Lowest Precedence)The value of the expression is 9.
1. (High Precedence)
2. (Medium Precedence, Right Associative)
3. (Low Precedence)
Expression:Step 1: Evaluate (Highest Precedence)The operator binds and .Step 2: Evaluate (Medium Precedence)
The expression contains two operators: . Since is defined as Right Associative, it is grouped as .
Note: The operators are evaluated before because has higher precedence than .Step 3: Evaluate (Lowest Precedence)The value of the expression is 9.
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